Pour toute surface hyperbolique de genre $g$, $\lambda_{2g-2}>\frac 14}$
Differential Geometry
2019-12-19 v1 Spectral Theory
Abstract
We show that for any hyperbolic surface of genus g, the eigenvalue of the Laplace operator is > 1/4.
Cite
@article{arxiv.0905.0506,
title = {Pour toute surface hyperbolique de genre $g$, $\lambda_{2g-2}>\frac 14}$},
author = {Jean-Pierre Otal and Eulalio Rosas},
journal= {arXiv preprint arXiv:0905.0506},
year = {2019}
}
Comments
The final version of this article will be published in the Duke Mathematical Journal